Details

sample1.0m (62.8%)

Algorithm
21×intervals
Results
36.5s39571×body10240exit
6.8s7234×body1280valid
5.3s3365×body2560valid
2.9s57648×body80nan
2.9s56568×body80valid
2.1s4758×body640valid
555.0ms2272×body320valid
201.0ms1215×body160valid
116.0ms8356×pre80true
37.0ms18×body5120valid
13.0ms20×body2560nan
7.0ms26×body1280nan
4.0msbody5120nan
2.0ms11×body160nan
1.0ms10×body320nan
1.0ms10×body640nan

series25.4s (25.8%)

Calls

70 calls:

4.6s
(sqrt (* (* 2.0 n) (* U (- (- t (* 2.0 (/ l (/ Om l)))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))))
4.5s
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))
4.5s
(sqrt (* (* 2.0 n) (* U (- (- t (* 2.0 (/ l (/ Om l)))) (* (* (* n (pow (/ l Om) (/ 2.0 2))) (pow (/ l Om) (/ 2.0 2))) (- U U*))))))
4.5s
(sqrt (* (* 2.0 n) (* U (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))))
1.3s
(* (* 2.0 n) (* U (- (- t (* 2.0 (/ l (/ Om l)))) (* (* (* n (pow (/ l Om) (/ 2.0 2))) (pow (/ l Om) (/ 2.0 2))) (- U U*)))))

prune4.9s (5.0%)

simplify2.8s (2.8%)

Algorithm
41×egg-herbie

regimes2.3s (2.3%)

Accuracy

Total 12.2b remaining (5.6%)

Threshold costs 0.4b (0.2%)

8.1b34.9%Toniolo and Linder, Equation (13)
1.9b0%Random Jason Timeout Test 004
1.8b0%Random Jason Timeout Test 006
0.4b0%Random Jason Timeout Test 012
0.0b0%Random Jason Timeout Test 002

rewrite652.0ms (0.7%)

Algorithm
23×rewrite-expression-head
Calls

70 calls:

80.0ms
(* (* (* n (pow (/ l Om) (/ 2.0 2))) (pow (/ l Om) (/ 2.0 2))) (- U U*))
75.0ms
(* (* 2.0 n) (* U (- (- t (* 2.0 (/ l (/ Om l)))) (* (* (* n (pow (/ l Om) (/ 2.0 2))) (pow (/ l Om) (/ 2.0 2))) (- U U*)))))
52.0ms
(sqrt (* (* 2.0 n) (* U (- (- t (* 2.0 (/ l (/ Om l)))) (* (* (* n (pow (/ l Om) (/ 2.0 2))) (pow (/ l Om) (/ 2.0 2))) (- U U*))))))
50.0ms
(* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))
49.0ms
(* (* 2.0 n) (* U (- (- t (* 2.0 (/ l (/ Om l)))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))
Rules
279×add-exp-log
234×add-sqr-sqrt
184×*-un-lft-identity
166×pow1
153×add-cbrt-cube
152×add-cube-cbrt
132×prod-exp
114×associate-*r*
108×associate-*r/
82×add-log-exp
61×unpow-prod-down times-frac
56×pow-prod-down
46×cbrt-unprod
44×distribute-rgt-in distribute-lft-in
41×flip-- flip3--
34×pow-exp
28×sub-neg frac-sub associate-*l*
26×unswap-sqr
24×sqrt-div cbrt-prod
21×sqrt-pow1
20×associate--l+ div-exp
19×pow-to-exp
18×exp-prod
16×difference-of-squares distribute-lft-out-- log-pow
14×*-commutative sqr-pow
12×log-prod
11×associate-/r*
10×sqrt-prod
cube-prod pow1/3
associate-/l*
sum-log div-inv pow1/2
cbrt-undiv
rem-log-exp
clear-num frac-2neg
associate-/l/ sinh-def associate-+r+ unpow3 cube-mult +-commutative flip3-+ acos-asin flip-+ rem-sqrt-square rem-exp-log associate-/r/
div-sub

localize383.0ms (0.4%)

bsearch231.0ms (0.2%)

end0.0ms (0.0%)